Department of Mathematics, University of Pennsylvania, 3E2A, David Rittenhouse Laboratory, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA
Abstract:
We develop a simple theory of André-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent CW-complexes. This puts certain results of Sullivan in a more conceptual framework.